Find the calculated value of the rational expression 2x + 6/4x - 8

2

Step-by-step explanation:

To calculate the value of the given rational expression (2x + 6) / (4x - 8), it is a good idea to simplify it first.

To simplify this expression, we can take the common out of both, the numerator and the denominator, as shown:

From the term 2x + 6, we can take out 2 as the common and from 4x-8, we can take 4 as common so the terms will become;

2 (x + 3) / 4 (x - 2)

2 from the numerator and 4 from the denominator will get cancelled and we will get x+3 / 2(x-2)

so we will solve for x-2 = 0 to get x = 2 which is the excluded value.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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step-by-step explanation: